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Simplifying 20x2 + 80 = -116x Reorder the terms: 80 + 20x2 = -116x Solving 80 + 20x2 = -116x Solving for variable 'x'. Reorder the terms: 80 + 116x + 20x2 = -116x + 116x Combine like terms: -116x + 116x = 0 80 + 116x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(20 + 29x + 5x2) = 0 Factor a trinomial. 4((5 + x)(4 + 5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-5, -0.8}
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